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September 1, 2014

September 1, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5
*Friday, January 31, 2014 at 3:12pm*

**Calculus**

Find parametric equations for the line through the point (0,2,2)that is parallel to the plane x+y+z = 2 and perpendicular to the line x=1+t, y=2−t, z=2t. (Use the parameter t.) (x(t), y(t), z(t)) =
*Friday, January 31, 2014 at 3:11pm*

**Calculus**

Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?
*Friday, January 31, 2014 at 3:09pm*

**Calculus**

Find the point at which the line intersects the given plane. x = 1 + 4t, y = 4t, z = 2−3t ; x + 2y − z + 1 = 0 (x, y, z) = _____________?
*Friday, January 31, 2014 at 3:07pm*

**Calculus**

Find the point at which the line intersects the given plane. x = 4 − t, y = 5 + t, z = 2t; x − y + 3z = 3 (x, y, z) =____________?
*Friday, January 31, 2014 at 3:05pm*

**Calculus**

Find an equation of the plane. The plane that passes through the point (−1, 2, 1)and contains the line of intersection of the planes x + y − z = 4 and 4x − y + 5z = 4
*Friday, January 31, 2014 at 3:04pm*

**Calculus**

Find an equation of the plane. The plane that passes through (8, 0, −2)and contains the line x = 6 − 2t, y = 3 + 5t, z = 3 + 2t
*Friday, January 31, 2014 at 2:57pm*

**CALCULUS**

Starting with the graph of f(x)=5x, write the equation of the graph that results from reflecting f(x) about the line y =4. y=_______? Thank you!
*Friday, January 31, 2014 at 12:27am*

**Calculus**

Let g and h be any two twice-differentiable functions that are defined for all real numbers and that satisfy the following properties for all x: I) (g(x))^2 + (h(x))^2=1 ii) g'(x)= (h(x))^2 iii) h(x)>0 iv) g(0)=0 a)Justify that h'(x)=-g(x)h(x) for all x b) Justify ...
*Thursday, January 30, 2014 at 2:44pm*

**Calculus II**

Find an equation of the set of all points equidistant from the points A(−2, 6, 3) and B(5, 3, −3)
*Thursday, January 30, 2014 at 11:33am*

**Physics**

Problem 1 (80 points) Consider a spring of equilibrium length L, lying horizontally in a frictionless trough. The spring has cross sectional area S perpendicular to its length. The trough constrains the motion of the spring so that any wave propagating along the spring is a ...
*Wednesday, January 29, 2014 at 11:24pm*

**Pre-Calculus**

Find dy/dx if y= x^6[(x^2-9)^8]? So the answer is supposed to be 2x^5[(x^2-9)^7](11x^2-27), but I don't understand how to get it. Do you use product rule, chain rule or both? thanks
*Wednesday, January 29, 2014 at 9:44pm*

**Calculus**

A superball is tossed vertically 40 feet and rebounds on each bounce 3/5 of the height from which it fell. How far will it travel before coming to rest?
*Wednesday, January 29, 2014 at 8:14pm*

**Calculus**

A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity v(t) is given by v(t)= t/(1+t^2). a). Determine the maximum velocity of the particle. Justify your answer. b). Determine the position of the particle at t=6. c...
*Wednesday, January 29, 2014 at 4:38pm*

**Calculus**

write in parametric form the equation of the line that joins (1,-2) and (3,0)
*Wednesday, January 29, 2014 at 4:14pm*

**Physics**

Problem 1 (80 points) Consider a spring of equilibrium length L, lying horizontally in a frictionless trough. The spring has cross sectional area S perpendicular to its length. The trough constrains the motion of the spring so that any wave propagating along the spring is a ...
*Wednesday, January 29, 2014 at 3:50pm*

**Calculus **

Consider the solid obtained by rotating the region bounded by the following curves about the line x=1. y=x,y=0,x=4,x=6 Find the volume So it would be pi (integral from 3 to 6) of ((1-y)^2 -(1-0)^2) right? so then you integrate it and get pi(Y^3/3-y^2) from 3 to 6. ?
*Wednesday, January 29, 2014 at 3:15pm*

**calculus**

i am on "rolles and the mean value theorem" and was just wondering, when i am doing rolles, do i really need to find the exact value of x where f'(c) = 0? for example: f(x) = (x+4)^2 (x-3) on [-4,3] i get to: 3x^2+10x-8=7 then i dont know if i then need to find ...
*Tuesday, January 28, 2014 at 11:51pm*

**Calculus**

Find the critical numbers of the function. h(t) = t3/4 − 5t1/4
*Tuesday, January 28, 2014 at 10:25pm*

**Calculus**

A poster is to have an area of 160 in2 with 1 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
*Tuesday, January 28, 2014 at 10:25pm*

**Calculus**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = (x2 - 1)3 [-1, 6]
*Tuesday, January 28, 2014 at 10:24pm*

**Calculus**

Find the absolute minimum and absolute maximum values of f on the interval below. f(x) = x4 - 8x2 + 6 [-3, 4]
*Tuesday, January 28, 2014 at 10:23pm*

**Calculus**

Find two numbers whose difference is 132 and whose product is a minimum.
*Tuesday, January 28, 2014 at 10:04pm*

**Calculus**

A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used.
*Tuesday, January 28, 2014 at 10:03pm*

**Calculus**

A poster is to have an area of 160 in2 with 1 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
*Tuesday, January 28, 2014 at 10:02pm*

**pre-calculus**

The suggested retail price for a new car is p dollars. The dealership advertises a 10% discount and a factory rebate of $1500. Write a function S in terms of p, representing the cost of the car after receiving the dealership discount.
*Tuesday, January 28, 2014 at 8:15pm*

**calculus**

If the nth partial sum of an is sn=(3n-2)/(n+1) what is an when x>1? and what is the sum of an?
*Tuesday, January 28, 2014 at 1:06am*

**Calculus**

write and row reduce the augmented matrix to find the general solution. x + y - z = 7 2x - y - 5z = 2 -5x + 4y + 14z = 1 3x - y - 7z = 5
*Monday, January 27, 2014 at 6:51pm*

**Calculus HELP!!**

6 2 6 Let u = 4 , v = 2 , w = 2 5 3 1 Show that 2u - 3v - w = 0. Use that fact to find x1 and x2 that satisfy the equation 6 2 6 4 2 {x1} = 2 5 3 {x2} 1
*Monday, January 27, 2014 at 4:54pm*

**Calculus**

the legs of a right triangle have lengths a and b satisfying a + b =10. which values of a and b maximize the area of the triangle?
*Monday, January 27, 2014 at 1:19pm*

**Calculus**

integrate (pi&0) sin t/(2-cost) dt
*Monday, January 27, 2014 at 9:42am*

**Calculus**

integrate (pi/6 & 0) (1-cos3t)(sin3t)dt
*Monday, January 27, 2014 at 9:23am*

**Calculus**

write and row reduce the augmented matrix to find the general solution: 2x - z = 2 6x + 5y + 3z = 7 2x - y = 4
*Sunday, January 26, 2014 at 4:36pm*

**Calculus**

write and row reduce the augmented matrix to find the general solution: x - 2y + 13 = 0 y - 4x = 17
*Sunday, January 26, 2014 at 4:34pm*

**Geometry/Algebra/Calculus**

Why isn't the surface area of a sphere with radius r the following: 2*pi * (pi*r) That comes from the following flow of logic: Doesn't it makes sense to think of the surface area of the sphere with radius r as the the circumference of the semi-circle with radius r, pi*...
*Sunday, January 26, 2014 at 1:46am*

**calculus**

"superman is in level flight 6 miles above ground. his flight plan takes him directly over whs high school. how fast is he flying when the distance between him and the whs high school is exactly 10 miles and the rate is increasing 40mph?" i keep getting: r = 10 r'...
*Saturday, January 25, 2014 at 10:34pm*

**calculus**

"superman is in level flight 6 miles above ground. his flight plan takes him directly over whs high school. how fast is he flying when the distance between him and the whs high school is exactly 10 miles and the rate is increasing 40mph?" i keep getting: r = 10 r'...
*Saturday, January 25, 2014 at 9:18pm*

**Calculus 1**

Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the line y=3x
*Saturday, January 25, 2014 at 6:38pm*

**Calculus**

The figure shows graphs of the marginal revenue function R ' and the marginal cost function C ' for a manufacturer. (Recall from Section 4.7 that R(x) and C(x) represent the revenue and cost when x units are manufactured. Assume that R and C are measured in thousands ...
*Saturday, January 25, 2014 at 6:28pm*

**Calculus**

a)Find the number a such that the line x = a bisects the area under the curve y= 1/x^2, 1<x<3. a=3/2 b)Find the number b such that the line y = b bisects the area in part (a) b=?
*Saturday, January 25, 2014 at 6:21pm*

**Calculus**

Sketch the region and find its area. S = {(x,y) | x > -6, 0 < y < e-x/2}
*Saturday, January 25, 2014 at 12:46pm*

**Calculus**

Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx
*Friday, January 24, 2014 at 10:34pm*

**Calculus**

integrate (t(root t)+t(root t))/t^2 dt
*Friday, January 24, 2014 at 10:26pm*

**Calculus 1**

On the graph of f(x) = 8*sin(3pi*x), points P and Q are at consecutive lowest and highest points with P occurring before Q. Find the slope of the line which passes through P and Q. Slope = ? I have tried 48/pi and it didn't work
*Thursday, January 23, 2014 at 9:38pm*

**pre-calculus**

A company plans to manufacture a container having the shape of a right circular cylinder, open at the top, and having a capacity of 24pi cubic inches. If the cost of the material for the bottom is $.30 per square inch and that for the curved sides is $.10 per square inch, ...
*Thursday, January 23, 2014 at 7:33pm*

**calculus**

Suppose that the sales at Borders bookstores went from 68 million dollars in 1990 to 427 million dollars in 1995 . Find an exponential function to model the sales (in millions of dollars) as a function of years,t, since 1990.
*Thursday, January 23, 2014 at 1:37am*

**Calculus and vectors**

A cylindrical tank is to have a capacity of 1000 m³. It is to fit into a foundry that is 12 m wide with a height of 11 m. The base of the tank will cost half as much as the top. The metal for the side of the tank will cost four fifths as much as the top. An equation that ...
*Wednesday, January 22, 2014 at 10:16pm*

**calculus**

limit as n approaches infinity for the function ((-1)^n)((5n+7)/(6n+5))
*Wednesday, January 22, 2014 at 9:19pm*

**Calculus**

Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so far: lim 5-x/(x^2-25) = lim 5-x/(x-5)(x+5) x-->5 x-->5 lim (1/x+5) = lim 1/10 x-->5 x-->5 I just wanted to double check with someone and see if the answer is supposed to be positive or negative. ...
*Wednesday, January 22, 2014 at 1:20pm*

**Calculus**

Water is leaking out of a pool at a rate of 4 cubic inches per second, what is the rate of change of the height of the water at the instant the volume equals 20ft cubic feet
*Wednesday, January 22, 2014 at 12:25am*

**calculus**

what is the 2nd derivative of: 1-xy = x-y i get (-y-1)/(x-1) for the first the second i know is (-y-1)/(x-1)^2 but i keep getting (0)/(x-1)^2 please show me the steps i should be taking and if possible what i did wrong
*Monday, January 20, 2014 at 10:57pm*

**Calculus**

I've been having a hard time with these lately... could someone explain it to me? Find f '(a). f(x) = (3x^2 − 3x + 4)
*Monday, January 20, 2014 at 10:50pm*

**calculus **

Find the limit lim x→−∞ sqrt(4x^6 − x)/(x^3 + 6)
*Monday, January 20, 2014 at 7:07pm*

**Calculus, Limits**

Find the limit. lim t → ∞ (sqrt t + t^2)/(6t − t^2)
*Monday, January 20, 2014 at 7:04pm*

**calculus**

a rectangle is 10 inches by 6 inches whose sides are changing. write a formula for both the perimeter and how fast each is changing in terms of L and W how do i do this, an explanation instead of an answer would be most appreciated, thanks in advance.
*Monday, January 20, 2014 at 12:26am*

**Calculus**

What is the domain of f(x)= (x-3)/(x^2-9)? lim f(x) x->3
*Saturday, January 18, 2014 at 10:18pm*

**calculus**

i need to use implicit differentiation to find the derivative: yx+y = 8 i keep getting y'=-1-y. i already know the derivative of this, by using explicit by simplification: y(x+1)=8 y=(8)/(x+1) y'= -(8)/(x+1)^2 how do i go about doing this the right way?
*Friday, January 17, 2014 at 5:49pm*

**calculus**

at what point do the graph of the function f(x)=(x^2)+4x-1 have a horizontal tangent?
*Tuesday, January 14, 2014 at 3:04pm*

**Calculus**

lim x to 1 of (sin(1-cosx))/x
*Tuesday, January 14, 2014 at 1:34pm*

**Calculus**

For what value of a is f(x)=(x^2)-a x<3 f(x)=2ax x(> or =)3 continuous at every x?
*Monday, January 13, 2014 at 10:23pm*

**calculus**

a.Find the slope of the tangent line to the curve y=9-2x^2 at the point (2,1) b.Find an equation of this tangent line.
*Monday, January 13, 2014 at 4:39pm*

**calculus**

i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x^3)^2 i got the answer from a site but the problem is i cannot get my work to match up with the answer, i dont know what im doing wrong. answer: 10x^9 + 36x^8 − 64x^7 − 182x^6 + 168x^5 + 80x^4 + ...
*Monday, January 13, 2014 at 3:00am*

**Integral Calculus**

A jeepney's velocity over time in ft/sec as it moves along the x-axis is governed by the function v(t)=3t^2-10t+15. If the jeep's position at t= 1 second is 8ft, what is the total displacement made by the jeepney from t=0 to t=5sec? please I need help, i just need the ...
*Sunday, January 12, 2014 at 7:01pm*

**pre-calculus**

Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.
*Sunday, January 12, 2014 at 6:21pm*

**Calculus**

Find the position s as a function of time t from the given velocity v=ds/dv. Then evaluate the constant of integration so that s = s0 when, t = 0. 1. v = 3t2 , s0 = 4 I don't quite understand what the question is asking or what is s0 mean. Than
*Sunday, January 12, 2014 at 11:24am*

**Pre-Calculus**

Here is correct question: Solve sin (pi/4*(x-6))=0.5, 0<x<360
*Saturday, January 11, 2014 at 8:10pm*

**Pre-Calculus**

Solve sin (pi/4(x-6))=0.5, 0<x<360
*Saturday, January 11, 2014 at 4:18pm*

**Calculus**

The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 2343 2230 2113 2178 2495 2496 2538 2518 a) Using Curve Expert or another curve modelling program, determine an equation ...
*Saturday, January 11, 2014 at 12:17am*

**calculus**

i need to find the derivative using chain rule and show steps: y= (x) / ((x^2)-1)^(-1/2) and is it possible to have free tutoring online like through a chatroom? i am in need of help
*Friday, January 10, 2014 at 5:44pm*

**4 CALCULUS study problem**

1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we want to find is dr/...
*Thursday, January 9, 2014 at 1:23pm*

**Pre calculus**

A woman went for a 48km drive in her car, partly in town in the country. She drove at an average of 40km/hr in town and an average speed of 50km/hr in the country. If the drive took her one hour altogether then how long did she drive in the country?
*Thursday, January 9, 2014 at 12:53pm*

**calculus**

updating previous question so easier to understand im using chain rule to answer this question: f(x) = -5 sqrt(x^2 - 4x + 1) what is f'(x)? tried to use calculator to get the answer to base my answer off of but this is a nonreal number. does this mean i will have to use ...
*Wednesday, January 8, 2014 at 9:57pm*

**calculus**

im using chain rule to answer this question: -5 ((x^2) - 4x + 1)^(1)/(2) tried to use calc to get answer to base off of but this is a nonreal number. does this mean i will have to use imaginary numbers? please help
*Wednesday, January 8, 2014 at 9:07pm*

**Pre Calculus**

Find the exact value of sin(1/2arcsin(-7/25))
*Wednesday, January 8, 2014 at 8:23pm*

**Calculus**

Let f(x)=(x/x+3). Find Domain Find f^(-1) and its domain Verify f*f^(-1)=f^(-1)*f=x Find (f(x+h)-f(x))/h.
*Wednesday, January 8, 2014 at 7:15pm*

**Pre-Calculus**

Write an algebraic expression in x for sec(arcsin(x/sqrt(x^(2) +4)))
*Wednesday, January 8, 2014 at 7:10pm*

**Pre-Calculus**

Find a quadratic function f such that f(1)=3, f(2)=5/2, f(-1)=1 I came out with 3 a+b+c=3, 4a+2b+c=5/2, a-b+c=1. And I know that I should do synthetic division but I am stuck.
*Wednesday, January 8, 2014 at 1:21pm*

**Calculus**

Integrate x dx/(1-x). I have proceeded thus- Int xdx/(1-x)=int -(x-1+1)/(x-1) =-Int[1+ 1/(x-1)]dx =-Int dx-Int dx/(x-1) =-x-log(x-1). On differentiating, we get original expression- d/dx[-x-log(x-1)]=-1-1/(x-1)=-x/(x-1)=x/(1-x). However, the answer in the book is -x-log...
*Wednesday, January 8, 2014 at 4:04am*

**AP Calculus AB**

Find the derivative of: y=(cosx)^3-(sinx)^3
*Friday, January 3, 2014 at 12:23pm*

**Pre calculus**

1. Reference angle for -280 degrees? I do not understand why you add 360???? 2. Theta=? If reference angle =60 and theta terminates in quadrant 3. What does terminate mean? Please show work and explain why. My priority is to understand the concept ... 3. Exact value for sec ...
*Wednesday, December 25, 2013 at 10:30pm*

**calculus**

Evaluate to four significant digits log x = 5.3027
*Saturday, December 21, 2013 at 3:48pm*

**CALCULUS - Check my answers :)**

I'd appreciate corrections for the ones I get wrong. :) Thanks! 1. Determine which of the following is true for the function f(x) = x^3 +5x^2 - 8x +3. I. f(x) has a relative minimum at x = 2/3. II. f(x) has a relative maximum at x = 2/3. III. f(x) has a zero at x = 2/3 I ...
*Thursday, December 19, 2013 at 7:18pm*

**Calculus**

what is the limit n to infinite of cos1*cos(1/2)*cos(1/4)*cos(1/8)*cos(1/16)*...*cos(1/2^n)
*Thursday, December 19, 2013 at 1:03pm*

**calculus**

f(x)=sqrt(x-2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?
*Wednesday, December 18, 2013 at 7:16pm*

**calculus**

if f(x)= the integral of lntdt from sqrt(x) to 2, what is f'(x)? Do you solve the integral first then derive it? And if so, wouldn't that just give you the function? Please help
*Wednesday, December 18, 2013 at 6:35pm*

**calculus**

I got half of this problem wrong and I DO NOT know where and how to fix. I cannot use my calculator and have to show my work. Question: You have a 500 metre roll of fencing and a large field. You want to construct a rectangular playground area. a.) using optimization ...
*Wednesday, December 18, 2013 at 6:27pm*

**calculus**

In the process of electrolysis, electrical power is used to separate water into oxygen and hydrogen molecules via the reaction: H2O --> H2 + ½O2 This is very much like running a hydrogen fuel cell in reverse. We assume that only the activation potential for the ...
*Wednesday, December 18, 2013 at 5:34pm*

**calculus**

A competing technology uses a photovoltaic cell to charge a battery which can then be used to power a LED light. To compare these technologies, we make some reasonable assumptions. We assume the solar cell is 10 cm on a side, and that it has an efficiency of 15%. We assume the...
*Wednesday, December 18, 2013 at 3:57pm*

**Pre-Calculus**

y= ((2-3x^(1/x))/(2+3x^(1/x)) Is the horizontal asymptote y= 1 or y= -1?
*Wednesday, December 18, 2013 at 10:45am*

**Calculus**

The total stopping distance T of a vehicle is T=2.5x+0.5x^2 where T is in feet and x is the speed in miles per hour. Approximate the change and percent change in total stopping distance as sped changes from x=25 to x=26 miles per hour. I started taking the derivative, but that...
*Tuesday, December 17, 2013 at 7:47pm*

**Calculus (check my work)**

The measurement of the circumference of a circle is found to be 64 centimeters, with a possible error of 0.9 centimeter. Approximate the percent error in computing the area of the circle. MY ANSWER 8.83%
*Tuesday, December 17, 2013 at 6:52pm*

**Calculus (check my answer)**

The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. Use differentials to approximate the maximum possible propagated error in computing the surface area of the cube. I got 5.4 inches squared. Is this right?
*Tuesday, December 17, 2013 at 6:39pm*

**Calculus (check my answers)**

10) Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2 and delta x=dx=0.01 MY ANSWER: dy=-.32 and delta y=-.3224. Are they supposed to be negative, and how do I compare those in words? I don't even understand what I was supposed to do... 12) Find the ...
*Tuesday, December 17, 2013 at 5:53pm*

**Calculus**

Find the differential dy of the given function. y=sec^2x/(x^2+1) My answer was [tanx(x^2+1)-2sec^2x]dx/(x^2+1)^2 My friend (who's a lot smarter than me) got something wayyy different, so I'm not sure if I'm doing this wrong...?
*Tuesday, December 17, 2013 at 5:35pm*

**Calculus**

Consider the function x^2+x-4 Estimate the area between the graph and the x-axis between x=2 and x=4 using four rectangles and right end points.
*Tuesday, December 17, 2013 at 12:27pm*

**calculus**

two trains are on parallel tracks that are 2 miles apart. If both trains are traveling at 40 mph, how fast is the distance between the trains decreasing when they are 8 miles apart?
*Monday, December 16, 2013 at 10:09pm*

**Calculus**

The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle.
*Monday, December 16, 2013 at 7:45pm*

**Calculus**

Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it ourselves. I don't understand this in the slightest. The question is: Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2...
*Monday, December 16, 2013 at 7:30pm*

**Calculus**

Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it ourselves. I don't understand this in the slightest. The question is: Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2...
*Monday, December 16, 2013 at 7:08pm*

**Calculus**

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3] Please don&#...
*Monday, December 16, 2013 at 6:13pm*

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